920820 has 48 divisors (see below), whose sum is σ = 2620800. Its totient is φ = 241536.

The previous prime is 920807. The next prime is 920827. The reversal of 920820 is 28029.

920820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920827) by changing a digit.

920820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6106 + ... + 6254.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

2⁹²⁰⁸²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310400).

920820 is an abundant number, since it is smaller than the sum of its proper divisors (1699980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

920820 is a wasteful number, since it uses less digits than its factorization.

920820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 920820 is about 959.5936640058. The cubic root of 920820 is about 97.2877697961.

Adding to 920820 its reverse (28029), we get a palindrome (948849).

The spelling of 920820 in words is "nine hundred twenty thousand, eight hundred twenty".